Question

9(x - 1) + 5x < 7x - 16​

Answer 1

Ответ:

9х-9+5х<7х-16

14х-9<7х-16

14х-7х<-16+9

7х<-7

х=-1

Answer 2

To solve the inequality 9(x - 1) + 5x < 7x - 16, you'll want to simplify and isolate x. Here are the steps:

1. Distribute the 9 on the left side: 9x - 9 + 5x < 7x - 16

2. Combine like terms on both sides of the inequality: 9x + 5x - 9 < 7x - 16

3. Add 9 to both sides to get the x terms on one side: 14x - 9 < 7x - 16 + 9

4. Simplify the right side: 14x - 9 < 7x - 7

5. Now, subtract 7x from both sides to isolate the x term on the left side: 14x - 7x - 9 < -7

6. Combine like terms on the left side: 7x - 9 < -7

7. Add 9 to both sides to isolate the variable x: 7x - 9 + 9 < -7 + 9

8. Simplify: 7x < 2

9. Finally, divide both sides by 7 to solve for x: (7x)/7 < 2/7

   x < 2/7

So, the solution to the inequality is:

x < 2/7